A STRONG OPERATOR TOPOLOGY ADIABATIC THEOREM
2002 ◽
Vol 14
(06)
◽
pp. 569-584
◽
Keyword(s):
We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.
Keyword(s):
2017 ◽
Vol 18
(2)
◽
pp. 272-286
◽
Keyword(s):
2019 ◽
Vol 40
(9)
◽
pp. 095004
◽
Keyword(s):
2011 ◽
Vol 18
(2)
◽
pp. 240-245
◽
Keyword(s):
Keyword(s):
2014 ◽
Vol 16
(8)
◽
pp. 085004
◽
Keyword(s):
2017 ◽
Vol 232
(5)
◽
pp. 881-894
◽